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A085849 Decimal expansion of the probability that two m X m and n X n matrices (m,n large) have relatively prime determinants. +0
1
3, 5, 3, 2, 3, 6, 3, 7, 1, 8, 5, 4, 9, 9, 5, 9, 8, 4, 5, 4 (list; cons; graph; listen)
OFFSET

0,1

COMMENT

The Hafner-Sarnak-McCurley constant.

REFERENCES

P. Flajolet and Ilan Vardi, Zeta function Expansions of Classical constants, Feb. 18, 1996

Hafner, J. L., Sarnak, P., and McCurley, K., Relatively prime values of polynomials, In contemporary Mathematics (1993), M. Knopp and M. Sheigorn, Eds., vol. 143.

LINKS

Eric Weisstein's World of Mathematics, Hafner-Sarnak-McCurley Constant

Ph. Flajolet and I. Vardi, Zeta function expansions of some classical constants

FORMULA

s=prod(1-(1-prod(n>=1, 1-1/p^n))^2) where p runs through the primes; s=0.35323637185499598454... - Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 05 2003

EXAMPLE

0.3532363719...

CROSSREFS

Sequence in context: A023505 A021743 A057023 this_sequence A100481 A101778 A135514

Adjacent sequences: A085846 A085847 A085848 this_sequence A085850 A085851 A085852

KEYWORD

nonn,cons,more

AUTHOR

Eric Weisstein (eric(AT)weisstein.com), Jul 05, 2003

EXTENSIONS

More terms from Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 05 2003

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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